Computerized Medical Imaging and Graphics
Volume 34, Issue 3 , Pages 192-202 , April 2010

Level set fiber bundle segmentation using spherical harmonic coefficients

  • Mohammad-Reza Nazem-Zadeh

      Affiliations

    • Control and Intelligent Processing Center of Excellence, School of Electrical and Computer Engineering, University of Tehran, Tehran 14395-515, Iran
  • ,
  • Esmaeil Davoodi-Bojd

      Affiliations

    • Control and Intelligent Processing Center of Excellence, School of Electrical and Computer Engineering, University of Tehran, Tehran 14395-515, Iran
  • ,
  • Hamid Soltanian-Zadeh

      Affiliations

    • Control and Intelligent Processing Center of Excellence, School of Electrical and Computer Engineering, University of Tehran, Tehran 14395-515, Iran
    • Image Analysis Laboratory, Radiology Department, Henry Ford Hospital, Detroit, MI 48202, USA
    • Corresponding Author InformationCorresponding author at: Medical Image Analysis Laboratory, Department of Diagnostic Radiology, Henry Ford Hospital, One Ford Place, 2F, Detroit, MI 48202, USA. Tel.: +1 313 874 4482; fax: +1 313 874 4494.

Received 25 March 2009 ,Revised 3 July 2009 ,Accepted 14 September 2009.

References 

  1. Basser PJ, Mattiello J, Le Bihan D. MR diffusion tensor spectroscopy and imaging. Biophysical. 1994;66:259–267
  2. Basser PJ, Mattiello J, Le Bihan D. Estimation of the effective self-diffusion tensor from the NMR spin echo. J Magn Reson. 1994;103:247–254
  3. Tuch DS. Di_usion, MRI of complex tissue structure. PhD thesis. Harvard University and Massachusetts Institute of Technology; 2002.
  4. Tuch DS, Reese TG, Wiegell MR, Makris NG, Belliveau JW, Wedeen VJ. High angular resolution diffusion imaging reveals intravoxel white matter fiber heterogeneity. Magn Reson Med. 2002;
  5. Tournier J-D, Calamante F, Gadian DG, Connelly A. Direct estimation of the fiber orientation density function from diffusion-weighted MRI data using spherical deconvolution. NeuroImage. 2004;23:1176–1185
  6. Dell F, Acqua , Rizzo G, Scifo P, Clarke RA, Scotti G, et al. A model-based deconvolution approach to solve fiber crossing in diffusion-weighted MR imaging. IEEE Trans Biomed Eng. 2007;54(3):462–472
  7. Alexander DC. Maximum entropy spherical deconvolution for diffusion MRI. Image Process Med Imag. 2005;76–87
  8. Jansons KM, Alexander DC. Persistent angular structure: new insights from diffusion magnetic resonance imaging data. Inverse Prob. 2003;19:1031–1046
  9. Tuch DS. Q-ball imaging. Magn Reson Med. 2004;52:1358–1372
  10. Brun A, Knutsson H, Park HJ, Shenton ME, Westin CF. Clustering fiber traces using normalized cuts. MICCAI 2004, LNCS 3216; 2004. p. 368–75.
  11. Maddah M, Grimson WEL, Warfield S, Wells WM. A unified framework for clustering quantitative analysis of white matter fiber tracts. Med Imag Anal. 2008;12:191–202
  12. Zhukov L, Museth K, Breen D, Whitaker R, Barr A. Level set modelling and segmentation of DT-MRI brain data. J Electron Imag. 2003;12:125–133
  13. Vemuri B, Chen Y, McGraw T, Wang Z, Mareci T. Fiber tract mapping from diffusion tensor MRI. In: Proceedings of the IEEE workshop on variational and level set methods in computer vision. 2001;p. 81–88
  14. Wang Z, Vemuri B. Tensor field segmentation using region based active contour model. ECCV, LNCS 3024. Berlin: Springer; 2004. p. 304–15.
  15. Rousson M, Lenglet C, Deriche R. Level set and region based surface propagation for diffusion tensor MRI segmentation. In: CVAMIA and MMBIA. 2004;
  16. Feddern C, Weickert J, Burgeth B. Level-set methods for tensor valued images. In: Proceedings of the second IEEE workshop on variational, geometric and level set methods in computer vision. 2003;p. 65–72
  17. Jonasson L, Bresson X, Hagmann P, Cuisenaire O, Meuli R, Thiran J. White matter fiber tract segmentation in DT-MRI using geometric flows. Med Image Anal. 2005;9(3):223–236
  18. Jonasson L, Hagmann P, Bresson X, Thiran JP, Wedeen VJ. Representing diffusion MRI in 5D for segmentation of white matter tracts with a level set method. IPMI. 2005;311–320
  19. Hagmann P, Jonasson L, Deffieux T, Meuli R, Thiran JP, Wedeen VJ. Fibertract segmentation in position orientation space from high angular resolution diffusion MRI. NeuroImage. 2006;32:665–675
  20. Descoteaux M, Deriche R . Segmentation of Q-ball images using statistical surface evolution. In: MICCAI 2007. Brisbane Australia, October. 2007;
  21. Hess CP, Mukherjee P, Han ET, Xu D, Vigneron DB. Q-ball reconstruction of multimodal fiber orientations using the spherical harminic basis. Magn Reson Med. 2006;56:104–117
  22. Descoteaux M, Angelino E, Fitzgibbons S, Deriche R. Regularized, fast and robust analytical Q-ball imaging. Magn Reson Med. 2007;58:497–510
  23. Mousa M, Chaine R, Akkouche S. Frequency-based representation of 3D models using spherical harmonics. In: The 14-th international conference on computer graphics, visualization and computer vision, vol. 14. 2006;p. 193–200
  24. Mousa M, Chaine R, Akkouche S, Galin E. Efficient spherical harmonics representation of 3D objects. In: PG’07, Pacific graphics conference. Maui, USA. 2007;
  25. Osher S, Sethian J. Fronts propagating with curvature dependent speed: algorithms based on Hamilton–Jacobi formulations. J Comput Phys. 1988;79:12–49http://www.citeseer.nj.nec.com/osher88fronts.html
  26. Osher S, Fedkiw R. Level set methods and dynamic implicit surfaces. New York: Springer–Verlag; 2002;
  27. Wakana S, Jiang H, Nagae-Poetscher LM, van Zijl PCM, Mori S. Fiber tract-based atlas of human white matter anatomy. Radiology. 2004;230:77–87

PII: S0895-6111(09)00114-1

doi: 10.1016/j.compmedimag.2009.09.003

Computerized Medical Imaging and Graphics
Volume 34, Issue 3 , Pages 192-202 , April 2010